Use Of Do You Mind

Note: Unlike Would you mind, When we talk about the Present or the Past, we use Present tense following the subject.

Do you mind If I join you tonight?

Do you mind If I use your pen?

Attention!

We may sometimes get confused by the subject. So pay attention to these two sentences.
Do you mind If I turn on the TV? (Shall I turn the TV on?)
Do you mind If you turn on the TV? (Can you please turn the TV on)

Note:

In the first one the person himself wants to do something and asks for the other's permission. However in the second one the person requests something from the other one to do.

2nd Usage: When we don't mention the subject we may just use Verb + ing

Do you mind washing the car for me?
Do you mind staying with the kids?

3rd Usage: Somebody's + Verb + ing

Do you mind Sam's coming with us?
Do you mind Belinda's using your computer?